54394075507968 has 864 divisors, whose sum is σ = 192470843174400. Its totient is φ = 15097600917504.

The previous prime is 54394075507883. The next prime is 54394075507969. The reversal of 54394075507968 is 86970557049345.

54394075507968 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 4 + 0 + 7 + 550 + 7 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54394075507896 and 54394075507905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54394075507969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9010113846 + ... + 9010119882.

It is an arithmetic number, because the mean of its divisors is an integer number (222767179600).

Almost surely, 2^{54394075507968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54394075507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235421587200).

54394075507968 is an abundant number, since it is smaller than the sum of its proper divisors (138076767666432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54394075507968 is a wasteful number, since it uses less digits than its factorization.

54394075507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 54394075507968 in words is "fifty-four trillion, three hundred ninety-four billion, seventy-five million, five hundred seven thousand, nine hundred sixty-eight".